# What Is 3/2 as a Decimal + Solution With Free Steps

**The fraction 3/2 as a decimal is equal to 1.5.**

**Decimal Numbers** are unique as they represent values that lie between integers. Therefore, a decimal number contains two parts, one is the **Whole Number** representing the integer, and the other is the **Decimal** part which is present on top of the integer.

Now, we can also refer to the decimal part as a **Fraction** i.e., a small part of the bigger integer value. As we are aware, the decimal part of a decimal number is smaller than the **Integer** represented by 1. And so, fractions come into play when working with decimal numbers, as a fraction that doesnâ€™t solve end to end will result in a **Decimal Number**.

Now, letâ€™s go through the solution of our fraction to decimal **Conversion** for 3/2.

## Solution

We begin by converting the **Constituents** of a fraction into the components of a division. We are aware that the numerator of a fraction is equivalent to the **Dividend** of a division, and the denominator is also referred to as the **Divisor**. So letâ€™s transform the fraction into its corresponding division:

**Dividend = 3**

**Divisor = 2**

Looking at these **Division Components,** we can conclude that we are dividing 3 into 2 pieces and taking one of those pieces as a result of our division. And once we solve this division, we will acquire our **Quotient**, the number corresponding to the solution of a division.

This is mathematically expressed as:

**Quotient = Dividend $\div$ Divisor = 3 $\div$ 2**

Now, without further ado letâ€™s look at the **Long Division Solution** of this fraction:

Figure 1

## 3/2 Long Division Method

The basic idea behind solving a division using the **Long Division Method** is to find the divisorâ€™s **Multiple,** which has the closest value to the dividend. As we know that the dividend is not a **Multiple** of the divisor, we subtract the multiple from the dividend to find the difference, this is called the **Remainder**.

The second most important part of the **Long Division Method** is the transformation of the dividend in cases when it is smaller than the divisor. So if the **Dividend** is smaller than the divisor, then we multiply the dividend by 10 and introduce a decimal point in the **Quotient**.

Now, letâ€™s take a look at the dividend we have, 3 which is bigger than 2 so, itâ€™s an **Improper Fraction**. Moving forward, we will solve 3/2:

**3 $\div$ 2 $\approx$ 1**

Where:

**Â 2 x 1 = 2**

Thus, a **Remainder** equal to 3 – 2 = 1 is produced. Now, we have to add a decimal point after 1 in the quotient, as 1 is smaller than 2. We now have 10/2:

**10 $\div$ 2 = 5**

Where:

**2 x 5 = 10**

Therefore, we finally have a solution to our problem, no **Remainder** is produced, and a Quotient with a **Whole Number **1 is produced. Finalizing the **Quotient** produces **1.5**.

*Images/mathematical drawings are created with GeoGebra.*